MinT - Information on Result #1167701

Information on Result #1167701

Linear OOA(2⁸⁹, 13, F₂, 8, 55) (dual of [(13, 8), 15, 56]-NRT-code), using OOA 2-folding based on linear OOA(2⁸⁹, 26, F₂, 4, 55) (dual of [(26, 4), 15, 56]-NRT-code), using

constructionÂ X applied to AG(4;F,0P) âŠ‚ AG(4;F,29P) [i] based on
1. linear OOA(2⁶³, 16, F₂, 4, 63) (dual of [(16, 4), 1, 64]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁴⁹, 16, F₂, 4, 34) (dual of [(16, 4), 15, 35]-NRT-code), using algebraic-geometric NRT-code AG(4;F,29P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17 (see above)
3. linear OOA(2²⁶, 10, F₂, 4, 20) (dual of [(10, 4), 14, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,19P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.